SIAM Journal on Applied Mathematics, Vol. 77, No. 1 (2017), pp. 26-50 (25 pages) Dissipationless hydrodynamics regularized by dispersion describe a number of physical media including water waves, ...
Understanding the way a wave moves through granular materials—after an earthquake, for example—has vast implications for modern science. After all, scientists use stress wave propagation through ...
The dispersive properties of high order finite element schemes are analyzed in the setting of the Helmholtz equation, and an explicit form of the discrete dispersion relation is obtained for elements ...
Our research is in the field of nonlinear waves, lying at the nexus of applied mathematics and physics. Mathematically, the nonlinear waves that we investigate are solutions to nonlinear, dispersive ...
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